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Finding the Fourth Proportional to 208,509.19, 287,743.29 and 113,016.26

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Solution

The fourth proportional to 208,509.19, 287,743.29 and 113,016.26 is: 155,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,509.19 : 287,743.29 = 113,016.26 : x
  2. Step 2: Convert to fraction form
    208,509.19/287,743.29 = 113,016.26/x
  3. Step 3: Cross multiply
    208,509.19x = 287,743.29 × 113,016.26
  4. Step 4: Simplify right side
    208,509.19x = 32,519,670,771.44
  5. Step 5: Solve for x
    x = 32,519,670,771.44/208,509.19
  6. Step 6: Final answer
    x = 155,962.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.